A non-autonomous stochastic predator-prey model
Copyright policy )A non-autonomous stochastic predator-prey model
The aim of this paper is to consider a non-autonomous predator-prey-like system, with a Gompertz growth law for the prey. By introducing random variations in both prey birth and predator death rates, a stochastic model for the predator-prey-like system in a random environment is proposed and investigated. The corresponding Fokker-Planck equation is solved to obtain the joint probability density for the prey and predator populations and the marginal probability densities. The asymptotic behavior of the predator-prey stochastic model is also analyzed.
Asymptotic behaviour, Predator-prey system; stochastic model; probability densities; Asymptotic behaviour, asymptotic behavior., Predator-prey system; Stochastic model; Probability densities, Predator-prey system, Asymptotic behaviours, QA1-939, Animals, Processes in random environments, asymptotic behavior, Diffusion processes, stochastic model, Ecosystem, Population Density, Stochastic Processes, Stochastic system, Models, Theoretical, Probability densities, probability densities, Population dynamics (general), Stochastic system; Probability densities; Asymptotic behaviours, Predatory Behavior, predator-prey system, TP248.13-248.65, Mathematics, Biotechnology
Asymptotic behaviour, Predator-prey system; stochastic model; probability densities; Asymptotic behaviour, asymptotic behavior., Predator-prey system; Stochastic model; Probability densities, Predator-prey system, Asymptotic behaviours, QA1-939, Animals, Processes in random environments, asymptotic behavior, Diffusion processes, stochastic model, Ecosystem, Population Density, Stochastic Processes, Stochastic system, Models, Theoretical, Probability densities, probability densities, Population dynamics (general), Stochastic system; Probability densities; Asymptotic behaviours, Predatory Behavior, predator-prey system, TP248.13-248.65, Mathematics, Biotechnology
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